If you have a gas sample with an initial pressure of 16 atm, an initial volume of 20 L and a temperature of 500 K, what will the final temperature be if you change the pressure to 4 atm and the volume to 35 L?

T₂ = 218.75 K

Explanation:

Given data:

Initial volume = 20 L

Initial pressure = 16 atm

Initial temperature = 500 K

Final temperature = ?

Final volume = 35 L

Final pressure = 4 atm

Formula:  

P₁V₁/T₁ = P₂V₂/T₂  

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

by putting values,

P₁V₁/T₁ = P₂V₂/T₂  

T₂  = P₂V₂ T₁/ P₁V₁

T₂ = 4 atm × 35 L × 500 K / 16 atm × 20 L  

T₂ = 70000 atm .L. K / 320 atm.L

T₂ = 218.75 K

answer: option (4) is the correct answer.

explanation:

areas which are at low altitudes and near the equator tend to receive direct sunlight from the sun. hence, heat energy or radiations from the sun make these areas warmer and they have warmest water.

whereas areas which are at high altitudes and away from the equator do no receive direct sunlight. hence, no direct contact from the sun makes these regions colder and thus, they have colder water.

thus, we can conclude that the statement areas at low latitudes near the equator have the warmest water because they receive the most direct sunlight best explains the relationship between an area's geography and the temperature of its surface water.